KJs vs K9s: preflop equity

In equity, KJs against K9s stands at 70.09% to 29.91%, a gap of 40.18 points.

KJs

70.09%

Wins 66.61%, ties 6.96%

K9s

29.91%

Wins 26.43%, ties 6.96%

Equity counts a tie as half a win. Exact over every board.

KJs against K9s: the numbers

Exact preflop results for KJs against K9s, in percent
HandWinsTiesLosesEquity
KJs66.6106.95826.43270.089
K9s26.4326.95866.61029.911

Two suited hands meet here: KJs against K9s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

KJs is well ahead, and K9s needs a specific kind of board to catch up. Split pots make up 6.96% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, KJs is number 20 of the 169 starting hands and K9s is number 29.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs13,687,0001,430,0005,431,000
K9s5,431,0001,430,00013,687,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

KJs against K9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs2.3431.5013.7830.427
K9s0.4273.7831.5012.343

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Split by what the flop looks like, KJs peaks at 76.16% on rainbow flops topped by a ten or better and bottoms out at 61.04% on low rainbow flops (nine high or lower). KJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJs against K9s by flop texture, in percent
FlopShare of flopsKJs winsTiesK9s winsKJs equity
Rainbow, ten or higher23.86773.3735.57121.05676.158
Rainbow, nine or lower7.04259.6862.70637.60861.039
Two-tone46.54367.4974.48428.01969.739
Monotone5.21560.8816.18932.93063.975
Paired17.33359.45717.46923.07468.191

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Start from the random-hand figures, 62.57% for KJs and 59.99% for K9s. This opponent changes them by +7.52 and -30.08 points.

KJs and K9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops70.08962.567+7.5221.12022
KJs, rainbow, ten or higher76.15862.567+13.5911.21722
KJs, rainbow, nine or lower61.03962.567-1.5280.97558
KJs, two-tone69.73962.567+7.1721.11463
KJs, monotone63.97562.567+1.4081.02250
KJs, paired68.19162.567+5.6241.08989
K9s, all flops29.91159.988-30.0770.49862
K9s, rainbow, ten or higher23.84259.988-36.1460.39745
K9s, rainbow, nine or lower38.96159.988-21.0270.64948
K9s, two-tone30.26159.988-29.7270.50445
K9s, monotone36.02559.988-23.9630.60054
K9s, paired31.80959.988-28.1790.53026

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 70.09% for KJs.

KJs against K9s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesK9s winsKJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.6106.95826.43270.089

How often this matchup comes up

This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJs' average share is $140.18 (a gain of $40.18) and K9s' is $59.82 (a loss of $40.18).

Out of 1,000 deals you should see around 666 outright wins for KJs, 264 for K9s, and 70 split pots.

The same matchup from the other side

If you came looking for K9s against KJs, the numbers are the same with the hands swapped: 29.91% and 70.09%.

Open the calculator with KsJs against Kh9h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 12 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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